This is the Proof & Generalization of Collatz Theorem!
It Shows That Everything Goes To One (GOD)
3n +1 ======> a(n) +/- b
Reverse Operation For Collatz Theorem!
You Can Enter "a" & "b" and find the "n" numbers that reaches to One. If you leave "b" blank the program will find it for "a" & "n"
Number (a)
(a) can be Any ODD Integers {3 - 99}.
Number b
Enter An Odd Number for "b" Between 10^1 - 10^15. If you leave it blank the program will find it for "a" and "n"
Number n
If you want a Collatz Set for a Number You can enter for "n" Between 10^1 - 10^15. If you leave it blank you get all the number that meet criteria.
Collatz Theorem was generalized and proved by Higher Mathematician Oktay Haraççı. And programmed by Gaye Haraççı.
An elegant fact about number (a); After large (a) values (e.g after a=15 ); The last values of the subset will approach to Q= (2^t+1); where t is a positive integer. AND (Q) is a separate subset inside the whole set.